if the resultant of two forces has same magnitude as either of the forces then the angle between the two forces is
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Let ? be the angle between the two vectors A and B such that, |A| = |B|.
Therefore,
R 2 = A 2 + B 2 + 2AB cos?
=> A 2 = A 2 + A 2 + 2(A)(A) cos? [since, |A| = |B| = |R|]
=> A 2 = 2A 2 + 2A 2 cos?
=> cos? = -1/2
=> ? = 120 Degree.
Therefore,
R 2 = A 2 + B 2 + 2AB cos?
=> A 2 = A 2 + A 2 + 2(A)(A) cos? [since, |A| = |B| = |R|]
=> A 2 = 2A 2 + 2A 2 cos?
=> cos? = -1/2
=> ? = 120 Degree.
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